Russelle Guadalupe

collaborators

13 papers

math.NT2026

Linear identities for partition pairs with 4-cores

Russelle Guadalupe

We determine an infinite family of linear identities for the number $A_{4} (n)$ of partition pairs of $n$ with $4$ -cores by employing elementary $q$ -series techniques and certain $3$ -…

math.NT2026

Gosper-type Lambert series identities of level 14

Russelle Guadalupe

We derive two Gosper-type Lambert series identities of level $14$ which involve the $q$ -constant $I^_{q}$ using a special case of Bailey's $_{6} I ¨ _{6}$ summation formula and certain prop…

math.NT2026

New Gosper-type Lambert series identities of levels 12 and 16

Russelle Guadalupe

We derive new Gosper-type Lambert series identities of levels $12$ and $16$ using certain sums of generalized $I^\cdot$ -quotients on the genus zero congruence subgroups $I^_{0} (12)$ and $…

math.NT2026

Congruences modulo powers of $2$ for three restricted partition functions of Pushpa and Vasuki

Russelle Guadalupe

We establish infinite families of congruences modulo arbitrary powers of $2$ for the three restricted partition functions $M (n), T^{*} (n)$ , and $P^{*} (n)$ introduced by Pushpa an…

math.NT2026

Linear identities for partition pairs with $5$ -cores

Russelle Guadalupe

We prove an infinite family of linear identities for the number $A_{5} (n)$ of partition pairs of $n$ with $5$ -cores by using certain theta function identities involving the Ramanujan…

math.NT2026

Congruences for an analogue of Lin's partition function

Russelle Guadalupe

We study certain arithmetic properties of an analogue $B (n)$ of Lin's restricted partition function that counts the number of partition triples $I ¨ = (I ¨ _{1}, I ¨ _{2}, I ¨ _{3})$ of $n$ such th…

Linear identities for partition pairs with 4-cores

Gosper-type Lambert series identities of level 14

New Gosper-type Lambert series identities of levels 12 and 16

Congruences modulo powers of 2 for three restricted partition functions of Pushpa and Vasuki

Linear identities for partition pairs with 5-cores

Congruences for an analogue of Lin's partition function

Congruences modulo powers of $2$ for three restricted partition functions of Pushpa and Vasuki

Linear identities for partition pairs with $5$ -cores